2. (08.05 HC)

Mathematics

1 answer:

4vir4ik [10]2 years ago

8 0

Answer:

option 3

Step-by-step explanation:

not sure if right

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Find the volume of the following cylinder using its net.

lord [1]

Answer:

226.08 yd 3

Step-by-step explanation:

3 0

2 years ago

One Friday night, two large groups of people called Weston Taxi Service. The first group requested 2 sedans and 1 minivan, which

muminat

Answer:

Sedan: 4 passengers

Minivan: 6 passengers

Step-by-step explanation:

We can write the following system of equations:

$\begin{cases}2s+1m=14 \\2s+2m=20\end{cases}$ , where $s$ represents the number of people a sedan can seat and $m$ represents the number of people a minivan can seat.

Subtracting the first equation from the second, we have:

$2s+2m-(2s+1m)=20-14,\\\\m=6$

Now plug in $m=6$ in any of the equations to solve for $s$ :

$2s+1(6)=14, \\2s=8, \\s=4$

Verify that the solution pair $(4, 6)$ works:

$2(4)+1(6)=14\: \checkmark \\2(4)+2(6)=20 \: \checkmark$

Therefore, a sedan can hold 4 passengers and a minivan can hold 6 passengers.

4 0

3 years ago

If g(x) = 2x2 + 6x + 5, use synthetic division to find g(-5).

diamong [38]

<h3>Answer: 25</h3>

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Explanation:

Check out the image below. I've posted the synthetic division table. The value at the very end of the bottom row is the remainder. By the remainder theorem, this is exactly the value of g(-5).

Recall the remainder theorem says: If you divide p(x) by (x-k), then the remainder is p(k). In this case, k = -5 is our test root which is the value placed in the box on the left.

As a way to check the answer, we can say

g(x) = 2x^2 + 6x + 5

g(-5) = 2(-5)^2 + 6(-5) + 5

g(-5) = 25

So the answer is confirmed.